Question

The rational number equivalent to the rational number $\frac{7}{19}$ is:

• A. $\frac{17}{119}$
• B. $\frac{14}{57}$
• C. $\frac{21}{38}$
• D. $\frac{21}{57}$

Answer 1

The correct option is D $\frac{21}{57}$

$\frac{7}{19}$ can be written as $\frac{7\times n}{19\times n}$ where $n$ is integer.

The only equation which satisfies this equation is option D as

$\frac{21}{57}=\frac{7\times 3}{19\times 3}$

where $n=3$

So correct answer should be option D